Alternating direction method for structure-persevering finite element model updating problem

作者：Yuan Quan^*

来源：Applied Mathematics and Computation, 2013, 223: 461-471.

DOI：10.1016/j.amc.2013.08.031

• Finite element model updating
• Structure connectivity
• Convex programming
• Alternating direction method

The problem of finding the optimal approximation to the discrete stiffness matrix modeled by the finite element method is considered in this paper. Desired properties of the updated matrix, including symmetry, positive semidefiniteness and structure connectivity, are imposed as side constraints. Besides these, the optimal approximate matrix should be the least-squares solution to the dynamics equation. To the best of the author's knowledge, the optimal matrix approximation problem containing all these constraints simultaneously has not been proposed in the literature earlier. Alternating direction method is first applied to this constrained minimization problem. Numerical examples are performed to illustrate the efficiency of the proposed method.

• 出版日期2013-10-15
• 单位南京航空航天大学